/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: a__from(X) -> cons(mark(X),from(s(X)))
    2: a__head(cons(X,XS)) -> mark(X)
    3: a__2nd(cons(X,XS)) -> a__head(mark(XS))
    4: a__take(0(),XS) -> nil()
    5: a__take(s(N),cons(X,XS)) -> cons(mark(X),take(N,XS))
    6: a__sel(0(),cons(X,XS)) -> mark(X)
    7: a__sel(s(N),cons(X,XS)) -> a__sel(mark(N),mark(XS))
    8: mark(from(X)) -> a__from(mark(X))
    9: mark(head(X)) -> a__head(mark(X))
    10: mark(2nd(X)) -> a__2nd(mark(X))
    11: mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
    12: mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
    13: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    14: mark(s(X)) -> s(mark(X))
    15: mark(0()) -> 0()
    16: mark(nil()) -> nil()
    17: a__from(X) -> from(X)
    18: a__head(X) -> head(X)
    19: a__2nd(X) -> 2nd(X)
    20: a__take(X1,X2) -> take(X1,X2)
    21: a__sel(X1,X2) -> sel(X1,X2)
Number of strict rules: 21
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__head(cons(X,XS)) -> #mark(X)
   #2: #a__sel(0(),cons(X,XS)) -> #mark(X)
   #3: #mark(cons(X1,X2)) -> #mark(X1)
   #4: #mark(head(X)) -> #a__head(mark(X))
   #5: #mark(head(X)) -> #mark(X)
   #6: #mark(take(X1,X2)) -> #a__take(mark(X1),mark(X2))
   #7: #mark(take(X1,X2)) -> #mark(X1)
   #8: #mark(take(X1,X2)) -> #mark(X2)
   #9: #mark(sel(X1,X2)) -> #a__sel(mark(X1),mark(X2))
   #10: #mark(sel(X1,X2)) -> #mark(X1)
   #11: #mark(sel(X1,X2)) -> #mark(X2)
   #12: #mark(s(X)) -> #mark(X)
   #13: #a__sel(s(N),cons(X,XS)) -> #a__sel(mark(N),mark(XS))
   #14: #a__sel(s(N),cons(X,XS)) -> #mark(N)
   #15: #a__sel(s(N),cons(X,XS)) -> #mark(XS)
   #16: #mark(2nd(X)) -> #a__2nd(mark(X))
   #17: #mark(2nd(X)) -> #mark(X)
   #18: #a__take(s(N),cons(X,XS)) -> #mark(X)
   #19: #a__2nd(cons(X,XS)) -> #a__head(mark(XS))
   #20: #a__2nd(cons(X,XS)) -> #mark(XS)
   #21: #a__from(X) -> #mark(X)
   #22: #mark(from(X)) -> #a__from(mark(X))
   #23: #mark(from(X)) -> #mark(X)
Number of SCCs: 1, DPs: 23
	SCC { #1..23 }
Sum... Max... succeeded.
  s(x1)		w: (x1)
  #a__head(x1)		w: (9227 + x1)
  #a__from(x1)		w: (9229 + x1)
  a__from(x1)		w: (9229 + x1)
  take(x1,x2)		w: (max{167 + x2, x1})
  2nd(x1)		w: (1144 + x1)
  a__2nd(x1)		w: (1144 + x1)
  #a__take(x1,x2)		w: (max{x2, 8946 + x1})
  #a__2nd(x1)		w: (9229 + x1)
  #mark(x1)		w: (9228 + x1)
  0()		w: (0)
  from(x1)		w: (9229 + x1)
  sel(x1,x2)		w: (max{28103 + x2, 28101 + x1})
  nil()		w: (46)
  #a__sel(x1,x2)		w: (max{37330 + x2, 9228 + x1})
  mark(x1)		w: (x1)
  a__sel(x1,x2)		w: (max{28103 + x2, 28101 + x1})
  head(x1)		w: (x1)
  cons(x1,x2)		w: (max{x2, 9229 + x1})
  a__take(x1,x2)		w: (max{167 + x2, x1})
  a__head(x1)		w: (x1)
    USABLE RULES: { 1..21 }
    Removed DPs: #1..4 #6 #8..11 #15..23
Number of SCCs: 2, DPs: 4
	SCC { #13 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  s(x1)		w: (max{0, 3 + x1})
  #a__head(x1)		w: (0)
  #a__from(x1)		w: (0)
  a__from(x1)		w: (max{0, 30209 + x1})
  take(x1,x2)		w: (max{0, 4 + x2})
  2nd(x1)		w: (max{0, 28189 + x1})
  a__2nd(x1)		w: (max{0, 28189 + x1})
  #a__take(x1,x2)		w: (0)
  #a__2nd(x1)		w: (0)
  #mark(x1)		w: (0)
  0()		w: (1)
  from(x1)		w: (max{0, 30209 + x1})
  sel(x1,x2)		w: (max{0, 1 + x2 + x1})
  nil()		w: (1)
  #a__sel(x1,x2)		w: (max{0, 34725 + x1})
  mark(x1)		w: (max{0, x1})
  a__sel(x1,x2)		w: (max{0, 1 + x2 + x1})
  head(x1)		w: (max{0, 28186 + x1})
  cons(x1,x2)		w: (max{0, -3 + x2, 28886 + x1})
  a__take(x1,x2)		w: (max{0, 4 + x2})
  a__head(x1)		w: (max{0, 28186 + x1})
    USABLE RULES: { 1..21 }
    Removed DPs: #13
Number of SCCs: 1, DPs: 3
	SCC { #5 #7 #12 }
Sum... succeeded.
  s(x1)		w: (13710 + x1)
  #a__head(x1)		w: (2)
  #a__from(x1)		w: (2)
  a__from(x1)		w: (17890)
  take(x1,x2)		w: (3 + x1)
  2nd(x1)		w: (1 + x1)
  a__2nd(x1)		w: (0)
  #a__take(x1,x2)		w: (2)
  #a__2nd(x1)		w: (2)
  #mark(x1)		w: (2 + x1)
  0()		w: (17890)
  from(x1)		w: (17891)
  sel(x1,x2)		w: (17889 + x2 + x1)
  nil()		w: (17893)
  #a__sel(x1,x2)		w: (0)
  mark(x1)		w: (17889)
  a__sel(x1,x2)		w: (17888)
  head(x1)		w: (17889 + x1)
  cons(x1,x2)		w: (17891)
  a__take(x1,x2)		w: (2 + x1)
  a__head(x1)		w: (17888)
    USABLE RULES: { }
    Removed DPs: #5 #7 #12
Number of SCCs: 0, DPs: 0